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Finding the Fourth Proportional to 76,396.30, 114,591.93 and 31,416.10

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Solution

The fourth proportional to 76,396.30, 114,591.93 and 31,416.10 is: 47,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.30 : 114,591.93 = 31,416.10 : x
  2. Step 2: Convert to fraction form
    76,396.30/114,591.93 = 31,416.10/x
  3. Step 3: Cross multiply
    76,396.30x = 114,591.93 × 31,416.10
  4. Step 4: Simplify right side
    76,396.30x = 3,600,031,532.07
  5. Step 5: Solve for x
    x = 3,600,031,532.07/76,396.30
  6. Step 6: Final answer
    x = 47,123.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.